Looks like it is (IMHO) Henry VIII, and is made of glass. Sticker on the Back says "National Portrait Gallery" but I can not find any info on the date, or if it is just a souvenir piece from somewhere, and if these were sold in the thousands as a Souvenir piece....or What.

Size is 2.75 inches wide, and about .75 inches tall.

Any knowledge about these at all? Year made, souvenir piece, collectible...or what? It is Henry the VIII image (looks like a copied image) not drawn image. It is a Paperweight -- Yes?

Yes, you have a souvenir of London, unfortunately these plain weights with pictures inserted have been made for a long time and are still being made. You can buy them on ebay to put your own picture in, so they are very easy to have customised for a particular place.